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Finding the Fourth Proportional to 885.60, 1,328.08 and 337.68

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Solution

The fourth proportional to 885.60, 1,328.08 and 337.68 is: 506.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.60 : 1,328.08 = 337.68 : x
  2. Step 2: Convert to fraction form
    885.60/1,328.08 = 337.68/x
  3. Step 3: Cross multiply
    885.60x = 1,328.08 × 337.68
  4. Step 4: Simplify right side
    885.60x = 448,466.05
  5. Step 5: Solve for x
    x = 448,466.05/885.60
  6. Step 6: Final answer
    x = 506.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.